-
1
-
-
0036670969
-
Closest point search in lattices
-
Agrell, E., Eriksson, T., Vardy, A., Zeger, K.: Closest point search in lattices. IEEE Trans. on Info. Theory 48(8), 2201-2214 (2002)
-
(2002)
IEEE Trans. on Info. Theory
, vol.48
, Issue.8
, pp. 2201-2214
-
-
Agrell, E.1
Eriksson, T.2
Vardy, A.3
Zeger, K.4
-
2
-
-
27344461174
-
Lattice problems in NP intersect coNP
-
Preliminary version in FOCS 2004
-
Aharonov, D., Regev, O.: Lattice problems in NP intersect coNP. Journal of the ACM 52(5), 749-765 (2005); Preliminary version in FOCS 2004
-
(2005)
Journal of the ACM
, vol.52
, Issue.5
, pp. 749-765
-
-
Aharonov, D.1
Regev, O.2
-
4
-
-
0034826416
-
A sieve algorithm for the shortest lattice vector problem
-
Ajtai, M., Kumar, R., Sivakumar, D.: A sieve algorithm for the shortest lattice vector problem. In: Proc. 33rd ACM Symp. on Theory of Computing (STOC), pp. 601-610 (2001)
-
(2001)
Proc. 33rd ACM Symp. on Theory of Computing (STOC)
, pp. 601-610
-
-
Ajtai, M.1
Kumar, R.2
Sivakumar, D.3
-
5
-
-
0036287568
-
Sampling short lattice vectors and the closest lattice vector problem
-
Ajtai, M., Kumar, R., Sivakumar, D.: Sampling short lattice vectors and the closest lattice vector problem. In: Proc. of 17th IEEE Annual Conference on Computational Complexity (CCC), pp. 53-57 (2002) (Pubitemid 34691894)
-
(2002)
Proceedings of the Annual IEEE Conference on Computational Complexity
, pp. 53-57
-
-
Ajtai, M.1
Kumar, R.2
Sivakumar, D.3
-
6
-
-
84872507568
-
-
version 3.0 September
-
Cad́e, D., Pujol, X., Stehĺe, D.: FPLLL library, version 3.0 (September 2008), http://perso.ens-lyon.fr/damien.stehle
-
(2008)
FPLLL Library
-
-
Cad́e, D.1
Pujol, X.2
Stehĺe, D.3
-
7
-
-
0000951613
-
An improved low-density subset sum algorithm
-
Coster, M., Joux, A., LaMacchina, B., Odlyzko, A., Schnorr, C., Stern, J.: An improved low-density subset sum algorithm. In: Computational Complexity (1992)
-
(1992)
Computational Complexity
-
-
Coster, M.1
Joux, A.2
Lamacchina, B.3
Odlyzko, A.4
Schnorr, C.5
Stern, J.6
-
8
-
-
0003733695
-
-
Technical report, ICSI, Berkeley, TR-99-006
-
Dasgupta, S., Gupta, A.: An elementary proof of the Johnson-Lindenstrauss lemma. Technical report, ICSI, Berkeley, TR-99-006 (1999)
-
(1999)
An Elementary Proof of the Johnson-Lindenstrauss Lemma
-
-
Dasgupta, S.1
Gupta, A.2
-
10
-
-
0025720957
-
A random polynomial-time algorithm for approximating the volume of convex bodies
-
Dyer, M., Frieze, A., Kannan, R.: A random polynomial-time algorithm for approximating the volume of convex bodies. J. ACM 38(1), 1-17 (1991)
-
(1991)
J. ACM
, vol.38
, Issue.1
, pp. 1-17
-
-
Dyer, M.1
Frieze, A.2
Kannan, R.3
-
11
-
-
84966239268
-
Improved methods for calculating vectors of short length in a lattice, including a complexity analysis
-
Fincke, U., Pohst, M.: Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Mathematics of Computation 44(170), 463-471 (1985)
-
(1985)
Mathematics of Computation
, vol.44
, Issue.170
, pp. 463-471
-
-
Fincke, U.1
Pohst, M.2
-
13
-
-
44449128937
-
Predicting Lattice Reduction
-
Smart, N.P. (ed.) EUROCRYPT 2008. Springer, Heidelberg
-
Gama, N., Nguyen, P.Q.: Predicting Lattice Reduction. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 31-51. Springer, Heidelberg (2008)
-
(2008)
LNCS
, vol.4965
, pp. 31-51
-
-
Gama, N.1
Nguyen, P.Q.2
-
14
-
-
38049105289
-
Improved analysis of Kannan's shortest lattice vector algorithm (extended abstract)
-
Menezes, A. (ed.) CRYPTO 2007. Springer, Heidelberg
-
Hanrot, G., Stehĺe, D.: Improved analysis of Kannan's shortest lattice vector algorithm (extended abstract). In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol. 4622, pp. 170-186. Springer, Heidelberg (2007)
-
(2007)
LNCS
, vol.4622
, pp. 170-186
-
-
Hanrot, G.1
Stehĺe, D.2
-
15
-
-
0024748719
-
Polynomial time algorithms for finding integer relations among real numbers
-
Håstad, J., Just, B., Lagarias, J.C., Schnorr, C.-P.: Polynomial time algorithms for finding integer relations among real numbers. SIAM J. Comput. 18(5) (1989)
-
(1989)
SIAM J. Comput.
, vol.18
, pp. 5
-
-
Håstad, J.1
Just, B.2
Lagarias, J.C.3
Schnorr, C.-P.4
-
17
-
-
34250244723
-
Factoring polynomials with rational coefficients
-
Lenstra, A.K., Lenstra Jr., H.W., Lovász, L.: Factoring polynomials with rational coefficients. Mathematische Ann. 261, 513-534 (1982)
-
(1982)
Mathematische Ann.
, vol.261
, pp. 513-534
-
-
Lenstra, A.K.1
Lenstra Jr., H.W.2
Lovász, L.3
-
19
-
-
0005018185
-
Lattice points in high dimensional spheres
-
Mazo, J.E., Odlyzko, A.M.: Lattice points in high dimensional spheres. Monatsheft Mathematik 17, 47-61 (1990)
-
(1990)
Monatsheft Mathematik
, vol.17
, pp. 47-61
-
-
Mazo, J.E.1
Odlyzko, A.M.2
-
22
-
-
84957089305
-
Cryptanalysis of the Goldreich-Goldwasser-Halevi cryptosystem from Crypto 1997
-
Wiener, M. (ed.) CRYPTO 1999. Springer, Heidelberg
-
Nguyen, P.Q.: Cryptanalysis of the Goldreich-Goldwasser-Halevi cryptosystem from Crypto 1997. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 288-304. Springer, Heidelberg (1999)
-
(1999)
LNCS
, vol.1666
, pp. 288-304
-
-
Nguyen, P.Q.1
-
24
-
-
33746766947
-
LLL on the average
-
Hess, F., Pauli, S., Pohst, M. (eds.) ANTS 2006. Springer, Heidelberg
-
Nguyen, P.Q., Stehlé, D.: LLL on the average. In: Hess, F., Pauli, S., Pohst, M. (eds.) ANTS 2006. LNCS, vol. 4076, pp. 238-256. Springer, Heidelberg (2006)
-
(2006)
LNCS
, vol.4076
, pp. 238-256
-
-
Nguyen, P.Q.1
Stehlé, D.2
-
26
-
-
57049145514
-
Sieve algorithms for the shortest vector problem are practical
-
Nguyen, P.Q., Vidick, T.: Sieve algorithms for the shortest vector problem are practical. J. of Mathematical Cryptology 2(2), 181-207 (2008)
-
(2008)
J. of Mathematical Cryptology
, vol.2
, Issue.2
, pp. 181-207
-
-
Nguyen, P.Q.1
Vidick, T.2
-
27
-
-
0002586419
-
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications
-
Pohst, M.: On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. SIGSAM Bull. 15(1), 37-44 (1981)
-
(1981)
SIGSAM Bull.
, vol.15
, Issue.1
, pp. 37-44
-
-
Pohst, M.1
-
28
-
-
58349108198
-
Rigorous and efficient short lattice vectors enumeration
-
Pieprzyk, J. (ed.) ASIACRYPT 2008. Springer, Heidelberg
-
Pujol, X., Stehlé, D.: Rigorous and efficient short lattice vectors enumeration. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol. 5350, pp. 390-405. Springer, Heidelberg (2008)
-
(2008)
LNCS
, vol.5350
, pp. 390-405
-
-
Pujol, X.1
Stehlé, D.2
-
31
-
-
0023532388
-
A hierarchy of polynomial lattice basis reduction algorithms
-
Schnorr, C.-P.: A hierarchy of polynomial lattice basis reduction algorithms. Theoretical Computer Science 53(2-3), 201-224 (1987)
-
(1987)
Theoretical Computer Science
, vol.53
, Issue.2-3
, pp. 201-224
-
-
Schnorr, C.-P.1
-
32
-
-
33846200465
-
Lattice basis reduction: Improved practical algorithms and solving subset sum problems
-
Schnorr, C.-P., Euchner, M.: Lattice basis reduction: improved practical algorithms and solving subset sum problems. Math. Programming 66, 181-199 (1994)
-
(1994)
Math. Programming
, vol.66
, pp. 181-199
-
-
Schnorr, C.-P.1
Euchner, M.2
-
33
-
-
0009452048
-
Attacking the Chor-Rivest cryptosystem by improved lattice reduction
-
Guillou, L.C., Quisquater, J.-J. (eds.) EUROCRYPT 1995. Springer, Heidelberg
-
Schnorr, C.-P., Hörner, H.H.: Attacking the Chor-Rivest cryptosystem by improved lattice reduction. In: Guillou, L.C., Quisquater, J.-J. (eds.) EUROCRYPT 1995. LNCS, vol. 921, pp. 1-12. Springer, Heidelberg (1995)
-
(1995)
LNCS
, vol.921
, pp. 1-12
-
-
Schnorr, C.-P.1
Hörner, H.H.2
|